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Finding the Fourth Proportional to 6,591.56, 9,099.62 and 4,506.60

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Solution

The fourth proportional to 6,591.56, 9,099.62 and 4,506.60 is: 6,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.56 : 9,099.62 = 4,506.60 : x
  2. Step 2: Convert to fraction form
    6,591.56/9,099.62 = 4,506.60/x
  3. Step 3: Cross multiply
    6,591.56x = 9,099.62 × 4,506.60
  4. Step 4: Simplify right side
    6,591.56x = 41,008,347.49
  5. Step 5: Solve for x
    x = 41,008,347.49/6,591.56
  6. Step 6: Final answer
    x = 6,221.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.